On analytical solutions of proton’s structure functions in the framework of GLR–MQ-ZRS equation

Abstract

We computed the deep inelastic scattering (DIS) structure functions F2(x,Q2)and FL(x,Q2)in the framework of Gribov–Levin–Ryskin–Mueller–Qiu, Zhu–Ruan–Shen (GLR–MQ–ZRS) equation. Both x and Q2evolutions of the structure functions are studied in the kinematic range of 10−6≤x≤10−2and 5≤Q2≤100GeV2respectively. we have suggested analytical solutions to the structure functions, our results are inspired by Regge like behaviour of gluons at small-x. The solutions of structure functions are obtained for two particular cases: (i) treating the strong coupling constant αsas an arbitrary constant, and (ii) considering the Q2dependency of αs. Our predicted results are in good agreement with the latest available high precision HERA data.

Keywords

• Gluon distribution function
• Parton distribution function(PDF)
• Structure function
• DGLAP equation
• GLR–MQ equation